5.84. Suppose that the probabilities are 0.60, 0.20, 0.10, and 0.10 that a state income tax return will be filled out correctly, that it will contain only errors favoring the tax- payer, that it will contain only errors favoring the state, or that it will contain both kinds of errors. What is the prob- ability that among 12 such income tax returns randomly chosen for audit, 5 will be filled out correctly, 4 will con- tain only errors favoring the taxpayer, 2 will contain onlyerrors. favoring the state, and 1 will contain both kinds of errors